<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>Cindy JS</title>

<script type="text/javascript" src="../build/js/Cindy.js"></script>

<link rel="stylesheet" href="../css/cindy.css">
</head>

<body style="font-family:Arial;">

<h1>Conjugate Scherk Minimal Surface</h1>


<script id='mouseDrag' type='text/x-cindyscript'>
if((mover()!=S) & (mover()!=T),
   xx=mouse().x;
   yy=mouse().y;
   wy=(startx-xx)*.3;
   wx=-(starty-yy)*.3;

   mmmx=[
       [1,0,0],
       [0,cos(wx),sin(wx)],
       [0,-sin(wx),cos(wx)]
       ];


   mmmy=[
       [cos(wy),0,-sin(wy)],
       [0,1,0],
       [sin(wy),0,cos(wy)]
       ];



   mat=mmmx*mmmy*mat;

   startx=mouse().x;
   starty=mouse().y;
   );
</script>

<script id='mouseUp' type='text/x-cindyscript'>

if((mover()!=S) & (mover()!=T),
   xx=mouse().x;
   yy=mouse().y;
   wy=(startx-xx)*.3;
   wx=-(starty-yy)*.3;

   mmmx=[
       [1,0,0],
       [0,cos(wx),sin(wx)],
       [0,-sin(wx),cos(wx)]
       ];


   mmmy=[
       [cos(wy),0,-sin(wy)],
       [0,1,0],
       [sin(wy),0,cos(wy)]
       ];



   mat=mmmx*mmmy*mat;
   );
</script>

<script id='mouseDown' type='text/x-cindyscript'>

startx=mouse().x;
starty=mouse().y;

xx=mouse().x;
yy=mouse().y;
if(xx>14 & xx<21 & yy>-5.2 & yy<-4,newchoice=1);
if(xx>14 & xx<21 & yy>-6.7 & yy<-5.5,newchoice=2);
if(xx>14 & xx<21 & yy>-8.2 & yy<-7,newchoice=3);
if(xx>14 & xx<21 & yy>-9.7 & yy<-8.5,newchoice=4);


</script>




<script id='init' type='text/x-cindyscript'>

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];



f1 = [[1,2,3,4],[5,2,1,6],[7,8,2,5],[9,3,2,8],[10,9,8,11],[12,11,8,7],[13,14,11,12],[15,10,11,14],[16,15,14,17],[18,17,14,13],[19,20,17,18],[21,16,17,20],[22,21,20,23],[24,23,20,19],[25,26,23,24],[27,22,23,26],[28,27,26,29],[30,29,26,25],[31,32,29,30],[33,28,29,32],[34,33,32,35],[36,35,32,31],[37,38,35,36],[39,34,35,38],[40,39,38,41],[42,41,38,37],[43,44,41,42],[45,40,41,44],[46,45,44,47],[48,47,44,43],[49,50,47,48],[51,46,47,50],[52,51,50,53],[54,53,50,49],[55,56,57,58],[59,60,57,56],[61,59,56,62],[63,62,56,55],[64,65,62,63],[66,61,62,65],[67,66,65,68],[69,68,65,64],[70,71,68,69],[72,67,68,71],[73,72,71,74],[75,74,71,70],[76,77,74,75],[78,73,74,77],[79,78,77,80],[81,80,77,76],[82,83,80,81],[84,79,80,83],[85,84,83,86],[87,86,83,82],[88,89,86,87],[90,85,86,89],[91,90,89,92],[93,92,89,88],[6,1,92,93],[1,4,91,92],[94,95,5,6],[96,95,94,97],[98,99,95,96],[7,5,95,99],[12,7,99,100],[101,100,99,98],[102,103,100,101],[13,12,100,103],[18,13,103,104],[105,104,103,102],[106,107,104,105],[19,18,104,107],[24,19,107,108],[109,108,107,106],[110,111,108,109],[25,24,108,111],[30,25,111,112],[113,112,111,110],[114,115,112,113],[31,30,112,115],[36,31,115,116],[117,116,115,114],[118,119,116,117],[37,36,116,119],[42,37,119,120],[121,120,119,118],[122,123,120,121],[43,42,120,123],[48,43,123,124],[125,124,123,122],[126,127,124,125],[49,48,124,127],[54,49,127,128],[129,128,127,126],[130,131,132,133],[55,58,132,131],[63,55,131,134],[135,134,131,130],[136,137,134,135],[64,63,134,137],[69,64,137,138],[139,138,137,136],[140,141,138,139],[70,69,138,141],[75,70,141,142],[143,142,141,140],[144,145,142,143],[76,75,142,145],[81,76,145,146],[147,146,145,144],[148,149,146,147],[82,81,146,149],[87,82,149,150],[151,150,149,148],[152,153,150,151],[88,87,150,153],[93,88,153,154],[155,154,153,152],[97,94,154,155],[94,6,93,154],[156,157,96,97],[158,157,156,159],[160,161,157,158],[98,96,157,161],[101,98,161,162],[163,162,161,160],[164,165,162,163],[102,101,162,165],[105,102,165,166],[167,166,165,164],[168,169,166,167],[106,105,166,169],[109,106,169,170],[171,170,169,168],[172,173,170,171],[110,109,170,173],[113,110,173,174],[175,174,173,172],[176,177,174,175],[114,113,174,177],[117,114,177,178],[179,178,177,176],[180,181,178,179],[118,117,178,181],[121,118,181,182],[183,182,181,180],[184,185,182,183],[122,121,182,185],[125,122,185,186],[187,186,185,184],[188,189,186,187],[126,125,186,189],[129,126,189,190],[191,190,189,188],[192,193,194,195],[130,133,194,193],[135,130,193,196],[197,196,193,192],[198,199,196,197],[136,135,196,199],[139,136,199,200],[201,200,199,198],[202,203,200,201],[140,139,200,203],[143,140,203,204],[205,204,203,202],[206,207,204,205],[144,143,204,207],[147,144,207,208],[209,208,207,206],[210,211,208,209],[148,147,208,211],[151,148,211,212],[213,212,211,210],[214,215,212,213],[152,151,212,215],[155,152,215,216],[217,216,215,214],[159,156,216,217],[156,97,155,216],[218,219,158,159],[220,219,218,221],[222,223,219,220],[160,158,219,223],[163,160,223,224],[225,224,223,222],[226,227,224,225],[164,163,224,227],[167,164,227,228],[229,228,227,226],[230,231,228,229],[168,167,228,231],[171,168,231,232],[233,232,231,230],[234,235,232,233],[172,171,232,235],[175,172,235,236],[237,236,235,234],[238,239,236,237],[176,175,236,239],[179,176,239,240],[241,240,239,238],[242,243,240,241],[180,179,240,243],[183,180,243,244],[245,244,243,242],[246,247,244,245],[184,183,244,247],[187,184,247,248],[249,248,247,246],[250,251,248,249],[188,187,248,251],[191,188,251,252],[253,252,251,250],[254,255,256,257],[192,195,256,255],[197,192,255,258],[259,258,255,254],[260,261,258,259],[198,197,258,261],[201,198,261,262],[263,262,261,260],[264,265,262,263],[202,201,262,265],[205,202,265,266],[267,266,265,264],[268,269,266,267],[206,205,266,269],[209,206,269,270],[271,270,269,268],[272,273,270,271],[210,209,270,273],[213,210,273,274],[275,274,273,272],[276,277,274,275],[214,213,274,277],[217,214,277,278],[279,278,277,276],[221,218,278,279],[218,159,217,278],[280,281,220,221],[282,281,280,283],[284,285,281,282],[222,220,281,285],[225,222,285,286],[287,286,285,284],[288,289,286,287],[226,225,286,289],[229,226,289,290],[291,290,289,288],[292,293,290,291],[230,229,290,293],[233,230,293,294],[295,294,293,292],[296,297,294,295],[234,233,294,297],[237,234,297,298],[299,298,297,296],[300,301,298,299],[238,237,298,301],[241,238,301,302],[303,302,301,300],[304,305,302,303],[242,241,302,305],[245,242,305,306],[307,306,305,304],[308,309,306,307],[246,245,306,309],[249,246,309,310],[311,310,309,308],[312,313,310,311],[250,249,310,313],[253,250,313,314],[315,314,313,312],[316,317,318,319],[254,257,318,317],[259,254,317,320],[321,320,317,316],[322,323,320,321],[260,259,320,323],[263,260,323,324],[325,324,323,322],[326,327,324,325],[264,263,324,327],[267,264,327,328],[329,328,327,326],[330,331,328,329],[268,267,328,331],[271,268,331,332],[333,332,331,330],[334,335,332,333],[272,271,332,335],[275,272,335,336],[337,336,335,334],[338,339,336,337],[276,275,336,339],[279,276,339,340],[341,340,339,338],[283,280,340,341],[280,221,279,340],[342,343,282,283],[344,343,342,345],[346,347,343,344],[284,282,343,347],[287,284,347,348],[349,348,347,346],[350,351,348,349],[288,287,348,351],[291,288,351,352],[353,352,351,350],[354,355,352,353],[292,291,352,355],[295,292,355,356],[357,356,355,354],[358,359,356,357],[296,295,356,359],[299,296,359,360],[361,360,359,358],[362,363,360,361],[300,299,360,363],[303,300,363,364],[365,364,363,362],[366,367,364,365],[304,303,364,367],[307,304,367,368],[369,368,367,366],[370,371,368,369],[308,307,368,371],[311,308,371,372],[373,372,371,370],[374,375,372,373],[312,311,372,375],[315,312,375,376],[377,376,375,374],[378,379,380,381],[316,319,380,379],[321,316,379,382],[383,382,379,378],[384,385,382,383],[322,321,382,385],[325,322,385,386],[387,386,385,384],[388,389,386,387],[326,325,386,389],[329,326,389,390],[391,390,389,388],[392,393,390,391],[330,329,390,393],[333,330,393,394],[395,394,393,392],[396,397,394,395],[334,333,394,397],[337,334,397,398],[399,398,397,396],[400,401,398,399],[338,337,398,401],[341,338,401,402],[403,402,401,400],[345,342,402,403],[342,283,341,402],[404,405,344,345],[406,405,404,407],[408,409,405,406],[346,344,405,409],[349,346,409,410],[411,410,409,408],[412,413,410,411],[350,349,410,413],[353,350,413,414],[415,414,413,412],[416,417,414,415],[354,353,414,417],[357,354,417,418],[419,418,417,416],[420,421,418,419],[358,357,418,421],[361,358,421,422],[423,422,421,420],[424,425,422,423],[362,361,422,425],[365,362,425,426],[427,426,425,424],[428,429,426,427],[366,365,426,429],[369,366,429,430],[431,430,429,428],[432,433,430,431],[370,369,430,433],[373,370,433,434],[435,434,433,432],[436,437,434,435],[374,373,434,437],[377,374,437,438],[439,438,437,436],[440,441,442,443],[378,381,442,441],[383,378,441,444],[445,444,441,440],[446,447,444,445],[384,383,444,447],[387,384,447,448],[449,448,447,446],[450,451,448,449],[388,387,448,451],[391,388,451,452],[453,452,451,450],[454,455,452,453],[392,391,452,455],[395,392,455,456],[457,456,455,454],[458,459,456,457],[396,395,456,459],[399,396,459,460],[461,460,459,458],[462,463,460,461],[400,399,460,463],[403,400,463,464],[465,464,463,462],[407,404,464,465],[404,345,403,464]]   ;

mid=sum(v1)/length(v1);
v1=apply(v1,(#-mid)*2);

v2=[
[0.10192983887596765,1.0071829777727672,-0.13837285295062915],
[0.11633435951899318,0.9976483259274482,-0.008193382300208066],
[-0.010274647626110675,1.0040996119998995,0.006859507137159687],
[4.300454871165894,2.1456322486112365,3.2485946172519964],
[4.563148042543718,2.1147060034800544,3.212390178912101],
[0.2449122488726554,0.9736352277967614,-0.019870376568770685],
[0.2540850576749426,0.9825626402073668,0.11082323358553453],
[0.12877289978060064,1.0056756367504498,0.118610414350715],
[0.004296000862910789,1.0118566644511966,0.1310138511248325],
[0.14037385299751814,1.030634391986789,0.24079369345744292],
[0.01697096014449218,1.036518941738231,0.2519160152974596],
[-0.1056115035186508,1.0257942109818283,0.2675693202038851],
[4.210005308406802,2.1332261463141773,3.514482930712685],
[4.194393246907586,2.1254322136719592,3.3916793549782436],
[4.090353542928268,2.1056235955273284,3.5320434609974423],
[4.074740246430862,2.097829467044088,3.409240044159794],
[4.054201783117496,2.106540953249312,3.2872186620150967],
[4.174813865320319,2.1344940883971586,3.2683150680226767],
[4.15021143982703,2.160374427131775,3.1457469250746612],
[4.278777440681273,2.1725860456928876,3.1219199508712414],
[4.412656299753125,2.1670052459726854,3.0972327621990567],
[4.027772153660094,2.1313968748949135,3.167343350758071],
[3.96002517752692,2.0537388476701177,3.4259995109752444],
[3.9394853770336136,2.06244983800811,3.3039778434355824],
[3.912207513983025,2.0866434645694056,3.1854153341503038],
[3.8315117997123824,2.0028833144177374,3.317279627105314],
[3.8042339161433434,2.0270771171446516,3.198717140657734],
[3.768663160040926,2.0651426546162,3.086144524084383],
[3.877339120239539,2.125656228457634,3.0716215755451475],
[3.994469390585573,2.1720349648768797,3.050991047562625],
[3.8340160767167397,2.178810820970729,2.9639325475274765],
[3.9532817167661465,2.22806809718491,2.9395918153538134],
[4.081491877794294,2.2623721993456805,2.908791283995048],
[4.1194864168791625,2.2030254341204767,3.025406339175471],
[4.251778809338558,2.2173259339700633,2.9960888421327283],
[4.218192484258766,2.280113930434197,2.8726550831064013],
[3.903155744367006,2.2990607017785916,2.8346537810812595],
[4.03501546646482,2.338286359644105,2.7975078166602154],
[4.176657977173461,2.361158193432432,2.753295793752817],
[3.9787615298428567,2.430558860304594,2.69328805139772],
[4.125710231942588,2.4605865312048913,2.639850217270452],
[4.283669034002765,2.472250614157487,2.5784390018027157],
[4.327732969466289,2.365676028667673,2.703134012345981],
[4.362858693378411,2.2796289453651926,2.8324073584848564],
[4.487736071377469,2.3496389048129016,2.6484068102328404],
[4.5148262582466865,2.2590865253020747,2.78952175639227],
[4.535364139832853,2.1904039612303667,2.9316886557258304],
[4.390675908629996,2.213606687729673,2.964342135707916],
[4.550972835647931,2.1425888087466407,3.073175619628568],
[4.673313805907763,2.2166751004753142,2.7455932177584295],
[0.3566605618626755,1.0141842939152572,-0.4680846180352043],
[4.692768778019696,2.0983025680439913,3.0513439826662303],
[4.838490673372847,2.079824672057216,2.8703057715284728],
[0.5085772119816565,0.9008963113341535,-0.334249013268753],
[0.5059062195207411,0.8761051110109747,-0.17699647433795293],
[0.3698971329699525,0.939154881770725,-0.16889560813214427],
[0.37437385503454496,0.9317111903889752,-0.026660679013724216],
[-0.0746815717858581,1.2013110848303221,0.6052554120378739],
[-0.08488879060725096,1.1258637322856082,0.49825717597699665],
[0.04093216922023828,1.1353770317261251,0.47884999733936195],
[0.05438875470354409,1.208971242225051,0.5822958413446424],
[-0.20517862347764926,1.1767170643124192,0.6357423448550128],
[-0.210973351805092,1.0994043136964873,0.5237011442169992],
[-0.21765289418044806,1.0400028145890587,0.4067743786594902],
[-0.09483251314222703,1.067362800413924,0.38522212266176786],
[0.028824194335237863,1.0777911126519057,0.36828830652337774],
[0.1522278815012547,1.0719060526483535,0.35716544380428644],
[0.16540515104619144,1.1288820125545365,0.4665583034307442],
[0.27430616956334974,1.0503197300313771,0.35302408631931864],
[0.2874833969210333,1.1072941220837007,0.46241391870043774],
[0.3040775269866859,1.1784641666606201,0.5626447240465209],
[0.1809746468734484,1.200951786584411,0.5678016528287254],
[0.20002859202398568,1.2874907460740332,0.6597048680337778],
[0.0703361077364368,1.2982447987850567,0.6772749393015743],
[-0.063038407727391,1.2936928624739967,0.7047242413064386],
[0.32510989916204847,1.2629302201341122,0.6527017519980229],
[0.40614598926863577,1.071514137067472,0.46743515579447914],
[0.42274003267833854,1.1426829864498764,0.567664617921112],
[0.44471139461073694,1.22599173784875,0.6569037472665613],
[0.5360256990550155,1.0947647154038915,0.5836777134744737],
[0.5579934943727862,1.1780626545159911,0.6729075874013264],
[0.5870970929830487,1.271002337871789,0.7497543198321306],
[0.4729924283988026,1.3202844138743135,0.7343322072292834],
[0.3516204226420586,1.359767102492371,0.7315510062011833],
[0.508543333855221,1.4243827479155298,0.7991207674951408],
[0.38468589705804707,1.468016509847518,0.7981321590433307],
[0.2531377727024021,1.5012752777546199,0.8105187787926267],
[0.22368925196651637,1.387838225329178,0.7410381593180245],
[0.08995652232301599,1.4028221839078965,0.7623704266242773],
[0.11452956754956774,1.5222617452333176,0.836097283281944],
[0.42544880657269135,1.5866371180819816,0.8513477205350776],
[0.28965709863775246,1.6269940141418593,0.8668008231609555],
[0.14545574538205094,1.6560180412867371,0.8968630683303809],
[0.3345834999348489,1.7640554824659196,0.908464275562408],
[0.18421274354072417,1.8034004775866865,0.9429839824958757],
[0.024387470608196966,1.8299947525021905,0.9939401076530562],
[-0.006578584548513403,1.671417165296683,0.9415720286012801],
[-0.030418614409250606,1.5289338894094495,0.8746358871025445],
[-0.165741900492349,1.6707233611807528,1.000852321319471],
[-0.18087335801531987,1.5191157478483617,0.9257946901022214],
[-0.191460500140966,1.3863288511251715,0.8385837614198348],
[-0.04873807350753634,1.402944005886036,0.795075802524688],
[-0.1990867787935648,1.272268157993778,0.7412835444868267],
[-0.33585690084254555,1.4904803222236143,0.9890994514264632],
[-0.337150745262252,1.3509912797171468,0.8921994396423845],
[-0.336694785939755,1.232327568786919,0.7860733708971379],
[-0.4845954332249822,1.2948351962701623,0.9550681140859424],
[-0.4746172687955718,1.1721533212505766,0.8380710842787861],
[-0.46577340664941974,1.071470768509936,0.7150516325533179],
[-0.33595952813067725,1.133886438913924,0.6727258321262102],
[-0.33617338594522794,1.055034058770513,0.5540306833500751],
[3.0666567523709705,2.20298721557855,2.632574478265676],
[3.166349983924003,2.1287243365658965,2.6749219477741715],
[3.097883407944062,2.023282211576816,2.652892088550481],
[2.9990676013308715,2.0924932428831022,2.6111152829084894],
[3.145605202407112,2.3137962928203444,2.639333629221101],
[3.246058954247514,2.232743238789987,2.682986399020861],
[3.3347505211574586,2.15493535433857,2.740661072079596],
[3.2547963307065446,2.05588800486753,2.731240519061034],
[3.1859582887414533,1.9537786488025286,2.7085709752211944],
[3.3321261619160754,1.9861210979698096,2.8008148176740653],
[3.2632069111656508,1.885648032310442,2.777699219606264],
[3.2051890509132006,1.7821649445941907,2.741587750902516],
[3.127941806039057,1.8502979062812415,2.6724598256968695],
[3.0401562337949,1.918139180640705,2.6169683588580734],
[3.0804575238599856,1.7471018965967613,2.6227173825222447],
[2.992673299554864,1.8149460393374108,2.567226665471159],
[2.895124268808095,1.879210743242769,2.525481423067053],
[2.9421208892740616,1.9840281314976964,2.575301518116492],
[2.8341462140391562,2.0462861542235427,2.5476533305197138],
[2.889615522544685,2.1596881736060554,2.583701204613012],
[2.955608814492147,2.2769485466297006,2.604932002312427],
[2.7883102233467283,1.938285713914008,2.4974121394535787],
[2.9549459978680956,1.7153086188999078,2.503733901058957],
[2.8573995699241905,1.7795765853023071,2.461990412307154],
[2.751247659462856,1.8371269351252209,2.433582273022706],
[2.828270805272361,1.6867103209663796,2.3851855211405018],
[2.7221240636854955,1.744242655374104,2.356777270673117],
[2.6088348745351126,1.7921587248926205,2.3407588708598794],
[2.637127691311688,1.8864238253663124,2.418154833139851],
[2.6726912074971225,1.990491662989496,2.482919471854515],
[2.515762674864723,1.9259133306886473,2.415375073786043],
[2.54884560633603,2.0341337776240254,2.481931771171091],
[2.5896172195279843,2.152721156926594,2.5351237859690587],
[2.716509511537791,2.103126884587978,2.534197052852014],
[2.769612188782133,2.223014225839088,2.571107481181178],
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f2 = 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,[692,688,687,691],[691,288,693,692],[693,288,286,229],[693,229,227,226],[276,694,226,225],[693,226,694,692],[689,688,692,694],[694,276,695,689],[695,276,275,274],[695,274,573,572],[695,572,683,689],[696,156,697,698],[161,157,156,696],[697,156,154,153],[697,153,563,562],[556,699,562,557],[697,562,699,698],[700,701,698,699],[702,696,698,701],[699,556,703,700],[703,556,553,552],[703,552,704,705],[706,707,705,708],[703,705,707,700],[709,701,700,707],[707,706,710,709],[710,706,711,586],[710,586,584,583],[623,712,583,582],[710,583,712,709],[702,701,709,712],[712,623,713,702],[713,623,622,164],[713,164,162,161],[713,161,696,702],[714,614,715,716],[619,615,614,714],[715,614,612,40],[715,40,38,37],[31,717,37,32],[715,37,717,716],[718,719,716,717],[720,714,716,719],[717,31,721,718],[721,31,29,28],[721,28,189,188],[180,722,188,181],[721,188,722,718],[723,719,718,722],[722,180,724,723],[724,180,178,121],[724,121,119,118],[168,725,118,117],[724,118,725,723],[720,719,723,725],[725,168,726,720],[726,168,167,166],[726,166,620,619],[726,619,714,720],[727,45,728,729],[50,46,45,727],[728,45,43,42],[728,42,610,609],[603,730,609,604],[728,609,730,729],[731,732,729,730],[733,727,729,732],[730,603,734,731],[734,603,600,599],[734,599,735,736],[737,738,736,739],[734,736,738,731],[740,732,731,738],[738,737,741,740],[741,737,742,1057],[1058,633,631,630],[651,1060,630,629],[741,1059,743,740],[733,732,740,743],[743,1061,744,733],[1062,651,650,1063],[744,53,1064,50],[744,50,727,733],[1084,1085,1087,748],[1083,750,746,745],[751,752,746,750],[747,746,752,753],[754,755,753,752],[1087,1086,756,757],[758,759,757,760],[1087,757,759,748],[761,762,748,759],[763,1084,748,762],[759,758,764,761],[764,758,765,766],[767,768,766,769],[764,766,768,770],[771,772,770,768],[773,774,770,772],[764,770,774,761],[775,762,761,774],[774,773,776,775],[777,778,773,772],[776,773,778,779],[204,203,779,778],[202,780,779,203],[776,779,780,781],[782,783,781,780],[784,785,781,783],[776,781,785,775],[763,762,775,785],[785,784,786,763],[787,1080,784,783],[786,784,1080,789],[109,108,1081,788],[107,790,1081,108],[1082,1081,790,1083],[791,750,1083,790],[786,749,1084,763],[792,793,794,795],[796,797,793,792],[798,799,793,797],[794,793,799,800],[801,802,800,799],[794,800,803,804],[805,806,804,807],[794,804,806,795],[808,809,795,806],[810,792,795,809],[806,805,811,808],[811,805,812,813],[814,815,813,816],[811,813,815,817],[818,819,817,815],[820,821,817,819],[811,817,821,808],[822,809,808,821],[821,820,823,822],[824,825,820,819],[823,820,825,826],[312,311,826,825],[310,827,826,311],[823,826,827,828],[829,830,828,827],[831,832,828,830],[823,828,832,822],[810,809,822,832],[832,831,833,810],[834,835,831,830],[833,831,835,836],[217,216,836,835],[215,837,836,216],[833,836,837,796],[838,797,796,837],[833,796,792,810],[839,840,841,842],[843,844,840,839],[845,846,840,844],[841,840,846,847],[848,849,847,846],[841,847,850,851],[852,853,851,854],[841,851,853,842],[855,856,842,853],[857,839,842,856],[853,852,858,855],[858,852,859,860],[861,862,860,863],[858,860,862,864],[865,866,864,862],[867,868,864,866],[858,864,868,855],[869,856,855,868],[868,867,870,869],[871,872,867,866],[870,867,872,873],[417,416,873,872],[415,874,873,416],[870,873,874,875],[876,877,875,874],[878,879,875,877],[870,875,879,869],[857,856,869,879],[879,878,880,857],[881,882,878,877],[880,878,882,883],[325,324,883,882],[323,884,883,324],[880,883,884,843],[885,844,843,884],[880,843,839,857],[886,887,888,889],[890,891,887,886],[892,893,887,891],[888,887,893,894],[895,896,894,893],[888,894,897,898],[899,900,898,901],[888,898,900,889],[902,903,889,900],[904,886,889,903],[900,899,905,902],[905,899,906,907],[908,909,907,910],[905,907,909,911],[912,913,911,909],[914,915,911,913],[905,911,915,902],[916,903,902,915],[915,914,917,916],[918,919,914,913],[917,914,919,920],[96,95,920,919],[94,921,920,95],[917,920,921,922],[923,924,922,921],[925,926,922,924],[917,922,926,916],[904,903,916,926],[926,925,927,904],[928,929,925,924],[927,925,929,930],[430,429,930,929],[428,931,930,429],[927,930,931,890],[932,891,890,931],[927,890,886,904],[933,923,934,935],[928,924,923,933],[934,923,921,94],[934,94,92,91],[85,936,91,86],[934,91,936,935],[937,938,935,936],[939,933,935,938],[936,85,940,937],[940,85,83,82],[940,82,351,350],[342,941,350,343],[940,350,941,937],[942,938,937,941],[941,342,943,942],[943,342,340,339],[943,339,389,388],[432,944,388,387],[943,388,944,942],[939,938,942,944],[944,432,945,939],[945,432,431,430],[945,430,929,928],[945,928,933,939],[946,99,947,948],[104,100,99,946],[947,99,97,96],[947,96,919,918],[912,949,918,913],[947,918,949,948],[950,951,948,949],[952,946,948,951],[949,912,953,950],[953,912,909,908],[953,908,954,955],[956,957,955,958],[953,955,957,950],[959,951,950,957],[957,956,960,959],[960,956,961,754],[960,754,752,751],[791,962,751,750],[960,751,962,959],[952,951,959,962],[962,791,963,952],[963,791,790,107],[963,107,105,104],[963,104,946,952],[964,420,965,966],[425,421,420,964],[965,420,418,417],[965,417,872,871],[865,967,871,866],[965,871,967,966],[968,969,966,967],[970,964,966,969],[967,865,971,968],[971,865,862,861],[971,861,972,973],[974,975,973,976],[971,973,975,968],[977,969,968,975],[975,974,978,977],[978,974,979,895],[978,895,893,892],[932,980,892,891],[978,892,980,977],[970,969,977,980],[980,932,981,970],[981,932,931,428],[981,428,426,425],[981,425,964,970],[982,876,983,984],[881,877,876,982],[983,876,874,415],[983,415,413,412],[406,985,412,407],[983,412,985,984],[986,987,984,985],[988,982,984,987],[985,406,989,986],[989,406,404,245],[989,245,243,242],[234,990,242,235],[989,242,990,986],[991,987,986,990],[990,234,992,991],[992,234,232,231],[992,231,284,283],[327,993,283,282],[992,283,993,991],[988,987,991,993],[993,327,994,988],[994,327,326,325],[994,325,882,881],[994,881,982,988],[995,315,996,997],[320,316,315,995],[996,315,313,312],[996,312,825,824],[818,998,824,819],[996,824,998,997],[999,1000,997,998],[1001,995,997,1000],[998,818,1002,999],[1002,818,815,814],[1002,814,1003,1004],[1005,1006,1004,1007],[1002,1004,1006,999],[1008,1000,999,1006],[1006,1005,1009,1008],[1009,1005,1010,848],[1009,848,846,845],[885,1011,845,844],[1009,845,1011,1008],[1001,1000,1008,1011],[1011,885,1012,1001],[1012,885,884,323],[1012,323,321,320],[1012,320,995,1001],[1013,829,1014,1015],[834,830,829,1013],[1014,829,827,310],[1014,310,308,307],[301,1016,307,302],[1014,307,1016,1015],[1017,1018,1015,1016],[1019,1013,1015,1018],[1016,301,1020,1017],[1020,301,299,137],[1020,137,135,134],[126,1021,134,127],[1020,134,1021,1017],[1022,1018,1017,1021],[1021,126,1023,1022],[1023,126,124,123],[1023,123,176,175],[219,1024,175,174],[1023,175,1024,1022],[1019,1018,1022,1024],[1024,219,1025,1019],[1025,219,218,217],[1025,217,835,834],[1025,834,1013,1019],[1026,207,1027,1028],[212,208,207,1026],[1027,207,205,204],[1027,204,778,777],[771,1029,777,772],[1027,777,1029,1028],[1030,1031,1028,1029],[1032,1026,1028,1031],[1029,771,1033,1030],[1033,771,768,767],[1033,767,1034,1035],[1036,1037,1035,1038],[1033,1035,1037,1030],[1039,1031,1030,1037],[1037,1036,1040,1039],[1040,1036,1041,801],[1040,801,799,798],[838,1042,798,797],[1040,798,1042,1039],[1032,1031,1039,1042],[1042,838,1043,1032],[1043,838,837,215],[1043,215,213,212],[1043,212,1026,1032],[1044,782,1045,1046],[787,783,782,1044],[1045,782,780,202],[1045,202,200,199],[193,1047,199,194],[1045,199,1047,1046],[1048,1049,1046,1047],[1050,1044,1046,1049],[1047,193,1051,1048],[1051,193,191,26],[1051,26,24,23],[15,1052,23,16],[1051,23,1052,1048],[1053,1049,1048,1052],[1052,15,1054,1053],[1054,15,13,1073],[1074,12,65,64],[111,1076,64,63],[1054,1075,1055,1053],[1050,1049,1053,1055],[1055,1077,1056,1050],[1078,111,110,109],[1056,1079,1080,787],[1056,787,1044,1050]]   ;

mid=sum(v2)/length(v2);
v2=apply(v2,(#-mid)*.55);

v3=[
[-0.14732304341498476,0.9279173990186268,0.3681418838293748],
[-0.10124240993594731,0.9598229899661044,0.2731387231047572],
[0.012459150421186727,0.9596280159777599,0.315968827932707],
[-0.040853778604799926,0.9085357870529414,0.4263561546969176],
[-0.19663398659219378,0.9599865550316752,0.2372058808448415],
[-0.23587496871296304,0.9440059182835869,0.3198593193730916],
[-0.17156143214324976,0.9759850305998774,0.14928587393950177],
[-0.07307297616999663,0.9917861697454472,0.1712599272962893],
[0.04538534139889422,1.0107730556556975,0.1978464261388108],
[0.051151823175577385,1.0575648374433446,0.0736284020852754],
[-0.06428369211740245,1.0206430558287882,0.06503144911003123],
[-0.16118000342027883,0.9896287598287796,0.05806863564947533],
[-0.1651544089976122,0.9986808048119244,-0.03421771079238629],
[-0.07374210628598302,1.0436634301058174,-0.042555969800945365],
[0.03619038815591202,1.0977268309083634,-0.052133271428265],
[-0.003976103524543917,1.1254932760682455,-0.17569903879343224],
[-0.10118577524136303,1.0578388400242063,-0.14857637160701886],
[-0.18276251567217508,1.0010279639286086,-0.12531627763971695],
[-0.21245988537493604,0.9949614251626315,-0.21304176368397762],
[-0.14399597357732336,1.061319699736947,-0.250309332558067],
[-0.06159771723696478,1.1411115790916355,-0.29439461316382504],
[-0.13811134410047393,1.1384354697811148,-0.40298249399029],
[-0.200286759588991,1.0517464188583254,-0.34482990482139964],
[-0.25237618807868856,0.9789991989824594,-0.2952998456357129],
[-0.3000247816571216,0.9522561273782109,-0.37032595586393546],
[-0.26640603010178143,1.0284696618250653,-0.4301579749911596],
[-0.2257893588896277,1.120193265012149,-0.5011283834115745],
[-0.3227798310170523,1.0809209342056445,-0.5830023512632969],
[-0.3391703535139738,0.9901866314606029,-0.5038751081049331],
[-0.35271062092942757,0.914137593058947,-0.4365504080532046],
[-0.40743485308078214,0.8647350450594651,-0.4929343900934346],
[-0.4145256173648622,0.9375605888391672,-0.5650839999597493],
[-0.4227134408885563,1.0253561072488273,-0.6506680275965455],
[-0.520769761707367,0.9496617775242658,-0.698711235384372],
[-0.4885413041081128,0.8705709490218567,-0.6122910642008252],
[-0.46114361853377805,0.8044441588384112,-0.538704293411031],
[-0.5108443498574108,0.7343173606130431,-0.5737267477946976],
[-0.5574624060317599,0.7910789215634588,-0.6458371133716253],
[-0.6130390225021727,0.8597657131611308,-0.7312365906819187],
[-0.6925658139433408,0.7541213792851206,-0.7441818013503678],
[-0.6172909785710212,0.7003495527115939,-0.665411534200199],
[-0.553652501439728,0.6556721426076939,-0.5981580288563799],
[-0.5870992531670012,0.5703397352624967,-0.6127932164971218],
[-0.6652203430676862,0.6011201429521309,-0.6725342150487331],
[-0.758576025244669,0.6388216688670667,-0.7429828056793907],
[-0.8031819000613913,0.5148779055113701,-0.7256315670783996],
[-0.6978764102809726,0.49572268435701206,-0.6681312855438094],
[-0.6089681165141682,0.480331650895763,-0.6186914383219586],
[-0.6177408881847077,0.38794139764406177,-0.6174387649594932],
[-0.7138884756975328,0.38724230476219784,-0.6546269247196956],
[-0.8288788168772009,0.3874946239005807,-0.6979554266066563],
[-0.828212882952324,0.26001117871515866,-0.6603358278879823],
[-0.7110850258592549,0.2787846892576155,-0.6340478504561907],
[-0.6125040955479274,0.2950118328077114,-0.6114566133913336],
[-1.0502621677132393,1.3520210288357013,0.6191048534809971],
[-1.1472956619940349,1.3209900118939324,0.6118865585884838],
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f3 =[[1,2,3,4],[5,2,1,6],[7,8,2,5],[9,3,2,8],[10,9,8,11],[12,11,8,7],[13,14,11,12],[15,10,11,14],[16,15,14,17],[18,17,14,13],[19,20,17,18],[21,16,17,20],[22,21,20,23],[24,23,20,19],[25,26,23,24],[27,22,23,26],[28,27,26,29],[30,29,26,25],[31,32,29,30],[33,28,29,32],[34,33,32,35],[36,35,32,31],[37,38,35,36],[39,34,35,38],[40,39,38,41],[42,41,38,37],[43,44,41,42],[45,40,41,44],[46,45,44,47],[48,47,44,43],[49,50,47,48],[51,46,47,50],[52,51,50,53],[54,53,50,49],[55,56,57,58],[59,60,57,56],[61,59,56,62],[63,62,56,55],[64,65,62,63],[66,61,62,65],[67,66,65,68],[69,68,65,64],[70,71,68,69],[72,67,68,71],[73,72,71,74],[75,74,71,70],[76,77,74,75],[78,73,74,77],[79,78,77,80],[81,80,77,76],[82,83,80,81],[84,79,80,83],[85,84,83,86],[87,86,83,82],[88,89,86,87],[90,85,86,89],[91,90,89,92],[93,92,89,88],[6,1,92,93],[1,4,91,92],[94,95,5,6],[96,95,94,97],[98,99,95,96],[7,5,95,99],[12,7,99,100],[101,100,99,98],[102,103,100,101],[13,12,100,103],[18,13,103,104],[105,104,103,102],[106,107,104,105],[19,18,104,107],[24,19,107,108],[109,108,107,106],[110,111,108,109],[25,24,108,111],[30,25,111,112],[113,112,111,110],[114,115,112,113],[31,30,112,115],[36,31,115,116],[117,116,115,114],[118,119,116,117],[37,36,116,119],[42,37,119,120],[121,120,119,118],[122,123,120,121],[43,42,120,123],[48,43,123,124],[125,124,123,122],[126,127,124,125],[49,48,124,127],[54,49,127,128],[129,128,127,126],[130,131,132,133],[55,58,132,131],[63,55,131,134],[135,134,131,130],[136,137,134,135],[64,63,134,137],[69,64,137,138],[139,138,137,136],[140,141,138,139],[70,69,138,141],[75,70,141,142],[143,142,141,140],[144,145,142,143],[76,75,142,145],[81,76,145,146],[147,146,145,144],[148,149,146,147],[82,81,146,149],[87,82,149,150],[151,150,149,148],[152,153,150,151],[88,87,150,153],[93,88,153,154],[155,154,153,152],[97,94,154,155],[94,6,93,154],[156,157,96,97],[158,157,156,159],[160,161,157,158],[98,96,157,161],[101,98,161,162],[163,162,161,160],[164,165,162,163],[102,101,162,165],[105,102,165,166],[167,166,165,164],[168,169,166,167],[106,105,166,169],[109,106,169,170],[171,170,169,168],[172,173,170,171],[110,109,170,173],[113,110,173,174],[175,174,173,172],[176,177,174,175],[114,113,174,177],[117,114,177,178],[179,178,177,176],[180,181,178,179],[118,117,178,181],[121,118,181,182],[183,182,181,180],[184,185,182,183],[122,121,182,185],[125,122,185,186],[187,186,185,184],[188,189,186,187],[126,125,186,189],[129,126,189,190],[191,190,189,188],[192,193,194,195],[130,133,194,193],[135,130,193,196],[197,196,193,192],[198,199,196,197],[136,135,196,199],[139,136,199,200],[201,200,199,198],[202,203,200,201],[140,139,200,203],[143,140,203,204],[205,204,203,202],[206,207,204,205],[144,143,204,207],[147,144,207,208],[209,208,207,206],[210,211,208,209],[148,147,208,211],[151,148,211,212],[213,212,211,210],[214,215,212,213],[152,151,212,215],[155,152,215,216],[217,216,215,214],[159,156,216,217],[156,97,155,216],[218,219,158,159],[220,219,218,221],[222,223,219,220],[160,158,219,223],[163,160,223,224],[225,224,223,222],[226,227,224,225],[164,163,224,227],[167,164,227,228],[229,228,227,226],[230,231,228,229],[168,167,228,231],[171,168,231,232],[233,232,231,230],[234,235,232,233],[172,171,232,235],[175,172,235,236],[237,236,235,234],[238,239,236,237],[176,175,236,239],[179,176,239,240],[241,240,239,238],[242,243,240,241],[180,179,240,243],[183,180,243,244],[245,244,243,242],[246,247,244,245],[184,183,244,247],[187,184,247,248],[249,248,247,246],[250,251,248,249],[188,187,248,251],[191,188,251,252],[253,252,251,250],[254,255,256,257],[192,195,256,255],[197,192,255,258],[259,258,255,254],[260,261,258,259],[198,197,258,261],[201,198,261,262],[263,262,261,260],[264,265,262,263],[202,201,262,265],[205,202,265,266],[267,266,265,264],[268,269,266,267],[206,205,266,269],[209,206,269,270],[271,270,269,268],[272,273,270,271],[210,209,270,273],[213,210,273,274],[275,274,273,272],[276,277,274,275],[214,213,274,277],[217,214,277,278],[279,278,277,276],[221,218,278,279],[218,159,217,278],[280,281,220,221],[282,281,280,283],[284,285,281,282],[222,220,281,285],[225,222,285,286],[287,286,285,284],[288,289,286,287],[226,225,286,289],[229,226,289,290],[291,290,289,288],[292,293,290,291],[230,229,290,293],[233,230,293,294],[295,294,293,292],[296,297,294,295],[234,233,294,297],[237,234,297,298],[299,298,297,296],[300,301,298,299],[238,237,298,301],[241,238,301,302],[303,302,301,300],[304,305,302,303],[242,241,302,305],[245,242,305,306],[307,306,305,304],[308,309,306,307],[246,245,306,309],[249,246,309,310],[311,310,309,308],[312,313,310,311],[250,249,310,313],[253,250,313,314],[315,314,313,312],[316,317,318,319],[254,257,318,317],[259,254,317,320],[321,320,317,316],[322,323,320,321],[260,259,320,323],[263,260,323,324],[325,324,323,322],[326,327,324,325],[264,263,324,327],[267,264,327,328],[329,328,327,326],[330,331,328,329],[268,267,328,331],[271,268,331,332],[333,332,331,330],[334,335,332,333],[272,271,332,335],[275,272,335,336],[337,336,335,334],[338,339,336,337],[276,275,336,339],[279,276,339,340],[341,340,339,338],[283,280,340,341],[280,221,279,340],[342,343,282,283],[344,343,342,345],[346,347,343,344],[284,282,343,347],[287,284,347,348],[349,348,347,346],[350,351,348,349],[288,287,348,351],[291,288,351,352],[353,352,351,350],[354,355,352,353],[292,291,352,355],[295,292,355,356],[357,356,355,354],[358,359,356,357],[296,295,356,359],[299,296,359,360],[361,360,359,358],[362,363,360,361],[300,299,360,363],[303,300,363,364],[365,364,363,362],[366,367,364,365],[304,303,364,367],[307,304,367,368],[369,368,367,366],[370,371,368,369],[308,307,368,371],[311,308,371,372],[373,372,371,370],[374,375,372,373],[312,311,372,375],[315,312,375,376],[377,376,375,374],[378,379,380,381],[316,319,380,379],[321,316,379,382],[383,382,379,378],[384,385,382,383],[322,321,382,385],[325,322,385,386],[387,386,385,384],[388,389,386,387],[326,325,386,389],[329,326,389,390],[391,390,389,388],[392,393,390,391],[330,329,390,393],[333,330,393,394],[395,394,393,392],[396,397,394,395],[334,333,394,397],[337,334,397,398],[399,398,397,396],[400,401,398,399],[338,337,398,401],[341,338,401,402],[403,402,401,400],[345,342,402,403],[342,283,341,402],[404,405,344,345],[406,405,404,407],[408,409,405,406],[346,344,405,409],[349,346,409,410],[411,410,409,408],[412,413,410,411],[350,349,410,413],[353,350,413,414],[415,414,413,412],[416,417,414,415],[354,353,414,417],[357,354,417,418],[419,418,417,416],[420,421,418,419],[358,357,418,421],[361,358,421,422],[423,422,421,420],[424,425,422,423],[362,361,422,425],[365,362,425,426],[427,426,425,424],[428,429,426,427],[366,365,426,429],[369,366,429,430],[431,430,429,428],[432,433,430,431],[370,369,430,433],[373,370,433,434],[435,434,433,432],[436,437,434,435],[374,373,434,437],[377,374,437,438],[439,438,437,436],[440,441,442,443],[378,381,442,441],[383,378,441,444],[445,444,441,440],[446,447,444,445],[384,383,444,447],[387,384,447,448],[449,448,447,446],[450,451,448,449],[388,387,448,451],[391,388,451,452],[453,452,451,450],[454,455,452,453],[392,391,452,455],[395,392,455,456],[457,456,455,454],[458,459,456,457],[396,395,456,459],[399,396,459,460],[461,460,459,458],[462,463,460,461],[400,399,460,463],[403,400,463,464],[465,464,463,462],[407,404,464,465],[404,345,403,464]]    ;

mid=sum(v3)/length(v3);
v3=apply(v3,(#-mid)*1.6);

v4=[
[0.14505356740286868,0.9936895342768387,0.05700109612037943],
[0.15179593034971325,0.9828762477671632,0.1759431567779972],
[0.0359501604583719,0.9811293024773182,0.20462171810117075],
[0.0010164698418546336,1.011206362201753,0.06658270146089727],
[0.08655495494296639,0.9572449952516925,0.310252457008042],
[0.17579881420331878,0.9741060247218257,0.2713106382679206],
[-0.09585405214007939,0.9731652811587959,0.2659647523866143],
[-0.01000344247578333,0.932777779550862,0.376197367080635],
[0.0778438444963474,0.905010114325604,0.4521959972909259],
[0.14436441374366518,0.9410079025500889,0.38873589037688555],
[-0.10872689487432023,0.895597280648747,0.4766819057750953],
[0.01524174692782107,0.8570127909684363,0.541907389115449],
[0.12716729533424645,0.835245514675906,0.5771253150462082],
[0.16160306488778195,0.8892373988776575,0.5019783530579486],
[-0.03536932830279535,0.7919560967395821,0.6621864372700665],
[0.10723792375047062,0.7669675003603506,0.6731036068272642],
[0.22591221497600028,0.7600372491442617,0.663470002072198],
[0.2244152989178653,0.8277332923546127,0.5916158668583001],
[0.11146379897131511,0.6801982151484952,0.7903864526392499],
[0.24999349421954312,0.6782346776081114,0.7471320056794551],
[0.35693381878582764,0.692396791502396,0.6963569638268219],
[0.32186941958823756,0.7671374810880615,0.6422059806412039],
[0.30630102308707297,0.5796802975448023,0.839119595483271],
[0.4187538323114789,0.6061643150163369,0.7512490896781424],
[0.49753750359822835,0.6440082324632915,0.6701712977778078],
[0.43707494639622757,0.717915972808506,0.6450727555481762],
[0.5153685986021332,0.5078059262656375,0.7999904658922741],
[0.5842989648330312,0.5632064741129851,0.6848145295381962],
[0.6234138082715219,0.6232117683685672,0.5895060599149182],
[0.5501139905134864,0.688552988349207,0.5997858165296298],
[0.7024459513618886,0.47701011419058686,0.6798215326126296],
[0.7180068277354992,0.5567623307305366,0.5593807807218671],
[0.7128374438816165,0.6335729310327904,0.4683438658700512],
[0.6414809419861581,0.6840952887570909,0.5142105498595229],
[0.8351459299601527,0.49260617805422235,0.49946264791887246],
[0.7967979845541399,0.5879157700261368,0.3966713411326361],
[0.7504031046107036,0.673280596768842,0.32762421881443987],
[0.6954344779615419,0.705294066295937,0.40313315563114255],
[0.8905256959282694,0.5518707915734873,0.29016481796462934],
[0.8071055816749643,0.651260494783173,0.22480961012557488],
[0.7296618295632717,0.7354704364344149,0.1916257483457009],
[0.7026920249608168,0.7484853467556793,0.28570684867574764],
[0.8590494524092684,0.6445261988927041,0.08815240210254688],
[0.7470455942276706,0.736174918597882,0.07277829055792392],
[0.6537709297221436,0.8097553146040671,0.08338887984723045],
[0.6620146812146007,0.8062248066265707,0.1821581716930655],
[0.7492646573120855,0.7534818706832821,-0.0722205048112102],
[0.7500936704871255,0.7351249354253955,0.07221314470560039],
[0.6566034820859606,0.8090863907655444,0.08208421266130263],
[0.6297319402637266,0.8267994864167231,-0.03303887327429125],
[0.5387468716972297,0.8823578880753061,0.0209290815486146],
[0.5822841872781517,0.8684439843753596,0.10864683766969971],
[0.5745768084714483,0.862089908414352,-0.16287657724361965],
[0.4700745642398443,0.9092258664160876,-0.07312009580501966],
[0.399333914376813,0.9419231730427193,0.017456973627342262],
[0.47303861371294503,0.9248622782223902,0.08117543664232432],
[0.36792705000199544,0.9504016516503218,-0.1680715150116151],
[0.2986338896541775,0.9682582969488128,-0.04127111355592181],
[0.26247740422136984,0.9774906026441366,0.07224114161908565],
[0.3557116473273341,0.9652784490504291,0.10292890224083776],
[0.1650470025717111,1.0031471976701907,-0.08690706479947782],
[0.25034849815584825,0.9826798450431529,0.1704639959955328],
[0.25511977093829963,0.987091794266218,0.2526309325728282],
[0.20958473573946795,0.9692181544800881,0.3463323418758812],
[0.27031193405359805,0.992712096215049,0.3205375287056351],
[0.20341864032566587,0.9326542885806144,0.4457638772851323],
[0.2476904152860899,0.9689778988387208,0.40482674236441185],
[0.2378067347176597,0.8840023803535159,0.5328953861441031],
[0.2599710250508096,0.9315655784581698,0.48684995278668636],
[0.3066252989234257,0.8315696028081545,0.5931167332607894],
[0.30507468537202065,0.8873964808341772,0.551228183406784],
[0.39793520144680866,0.7844104990384304,0.6160866542991511],
[0.3750389230763244,0.8438812637248185,0.5875790421803133],
[0.4959503237676579,0.7506526817516305,0.5978987572623566],
[0.4577684803844314,0.8085174770210344,0.5896824528383855],
[0.5837628285364083,0.7361028185174087,0.541732757837137],
[0.5389985327585098,0.7873894753055302,0.5572095794002841],
[0.6462459890257954,0.7432571283993563,0.4572897265792141],
[0.6047405193121921,0.7841308975570583,0.49576473564534895],
[0.6726423821435213,0.7708800532650827,0.35911755497133674],
[0.6436735363049993,0.7993066685398089,0.41591921745366295],
[0.6584038257095066,0.8142191797298596,0.2641135708231337],
[0.6490817053439557,0.8303166008807795,0.33140150775577587],
[0.6059723607626716,0.865820403915803,0.1886252999334273],
[0.6200099701082158,0.8718384203747604,0.25674596027344343],
[0.5798293801335868,0.8688219507684642,0.11029007268327633],
[0.523834668301061,0.9168919971547732,0.14598784823917865],
[0.5614362316644174,0.916738442396092,0.2047966272291778],
[0.5255842504241679,0.9168288428173187,0.14429275397355185],
[0.42827669305862953,0.9584169595297711,0.1418370358159973],
[0.484086908924334,0.9573015722935586,0.18377800131985436],
[0.33213029549267575,0.9833181864447654,0.18054357052684952],
[0.39910461314575413,0.9864031127384624,0.19997325354887044],
[0.32388320424960765,0.998860424647892,0.2481018399579186],
[0.32526155935310463,1.013918479526976,0.30651662387998946],
[0.2911371097774028,1.0005690797409945,0.3766223906652179],
[0.33217816624025975,1.029602474128706,0.35729322113829654],
[0.28645914330971567,0.973299988116282,0.4508619152998975],
[0.31423826177048914,1.0108874009599718,0.4238660041287461],
[0.3121232539458733,0.936565384565613,0.5169693374780917],
[0.32384430923092034,0.9814843001767828,0.48837799670014875],
[0.36361287313627483,0.8973358975729152,0.5620255827580833],
[0.35947719764858116,0.9461623775830459,0.5403239460577919],
[0.4319410724464892,0.8620397713999514,0.5792306196206303],
[0.4147734670049692,0.9117746732833868,0.5690422569011429],
[0.5053331544492053,0.8367496600052367,0.5656444045102774],
[0.48019592081337437,0.8838091643375294,0.570705278003978],
[0.5711558142793814,0.8258188692177285,0.5236055762862979],
[0.544489276818615,0.8670817558183044,0.5450149170088139],
[0.6180741990597439,0.8311389191479699,0.46032995440743874],
[0.596583112411655,0.8644862559376555,0.4963601948536591],
[0.6379916877397918,0.8518137661510128,0.3866809361646582],
[0.6274859240803945,0.8764952915361572,0.4330764224087723],
[0.6274444307751869,0.8843081661858064,0.31531357978933827],
[0.6318344001146722,0.9010720161100644,0.36602641271826597],
[0.5882072786642526,0.9230493574616765,0.25850337946521457],
[0.6088277834175182,0.9340127058994945,0.3067391515082787],
[0.5269993675325811,0.9613823623276835,0.22603152687364614],
[0.5623788030843941,0.9696653426127653,0.26542413679541854],
[0.483131932737499,0.9571775632976371,0.18510586357577416],
[0.45439746326724795,0.9924115707698237,0.22419929721577006],
[0.500419089083414,1.0018701721745034,0.24931850077072545],
[0.45417580330074103,0.9925486840137343,0.22408603722165715],
[0.38280349960210386,1.0110985217445996,0.25265409856160864],
[0.4338657915827223,1.024600134053503,0.26215593051387376],
[0.37438893403667767,1.03445427219951,0.3001999282929952],
[0.37038853337557964,1.0575681491177453,0.3435274984230224],
[0.34164482087285175,1.0462855234633586,0.40267594014350916],
[0.3681228737031693,1.080874175255336,0.38443770078955397],
[0.33762573571754934,1.0232630224358186,0.4654280408522995],
[0.351812276253452,1.063717678011439,0.44532287690927475],
[0.3591993308332306,0.9924206878908333,0.5209041511282576],
[0.3605832836776625,1.0368209239911315,0.5043530029071334],
[0.4028170650237817,0.9587462156750568,0.5601962671324711],
[0.39306612645201044,1.0047635247594826,0.5513461105826883],
[0.46067505310582385,0.9288662952336032,0.5747455069858938],
[0.4438259553509516,0.9727432724658364,0.5788609841787042],
[0.5228699124571391,0.9074417398073121,0.5632140260394464],
[0.5038808053841948,0.9470812422608432,0.5803645927871275],
[0.5786940710490366,0.8981785358853598,0.5275426460364196],
[0.5629370664680351,0.931730007229246,0.5567322655060666],
[0.6185110183870317,0.9027022171092375,0.4738217401038175],
[0.6107993695816092,0.9293677760016271,0.5119727132626374],
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f4 =[[1,2,3,4],[5,3,2,6],[7,3,5,8],[9,8,5,10],[11,8,9,12],[13,12,9,14],[15,12,13,16],[17,16,13,18],[19,16,17,20],[21,20,17,22],[23,20,21,24],[25,24,21,26],[27,24,25,28],[29,28,25,30],[31,28,29,32],[33,32,29,34],[35,32,33,36],[37,36,33,38],[39,36,37,40],[41,40,37,42],[43,40,41,44],[45,44,41,46],[47,48,49,50],[51,50,49,52],[53,50,51,54],[55,54,51,56],[57,54,55,58],[59,58,55,60],[61,58,59,1],[2,1,59,62],[62,63,6,2],[64,6,63,65],[5,6,64,10],[66,10,64,67],[9,10,66,14],[68,14,66,69],[13,14,68,18],[70,18,68,71],[17,18,70,22],[72,22,70,73],[21,22,72,26],[74,26,72,75],[25,26,74,30],[76,30,74,77],[29,30,76,34],[78,34,76,79],[33,34,78,38],[80,38,78,81],[37,38,80,42],[82,42,80,83],[41,42,82,46],[84,46,82,85],[45,46,84,86],[87,86,84,88],[51,52,89,56],[90,56,89,91],[55,56,90,60],[92,60,90,93],[59,60,92,62],[63,62,92,94],[94,95,65,63],[96,65,95,97],[64,65,96,67],[98,67,96,99],[66,67,98,69],[100,69,98,101],[68,69,100,71],[102,71,100,103],[70,71,102,73],[104,73,102,105],[72,73,104,75],[106,75,104,107],[74,75,106,77],[108,77,106,109],[76,77,108,79],[110,79,108,111],[78,79,110,81],[112,81,110,113],[80,81,112,83],[114,83,112,115],[82,83,114,85],[116,85,114,117],[84,85,116,88],[118,88,116,119],[87,88,118,120],[121,120,118,122],[90,91,123,93],[124,93,123,125],[92,93,124,94],[95,94,124,126],[126,127,97,95],[128,97,127,129],[96,97,128,99],[130,99,128,131],[98,99,130,101],[132,101,130,133],[100,101,132,103],[134,103,132,135],[102,103,134,105],[136,105,134,137],[104,105,136,107],[138,107,136,139],[106,107,138,109],[140,109,138,141],[108,109,140,111],[142,111,140,143],[110,111,142,113],[144,113,142,145],[112,113,144,115],[146,115,144,147],[114,115,146,117],[148,117,146,149],[116,117,148,119],[150,119,148,151],[118,119,150,122],[152,122,150,153],[121,122,152,154],[155,154,152,156],[124,125,157,126],[127,126,157,158],[158,159,129,127],[160,129,159,161],[128,129,160,131],[162,131,160,163],[130,131,162,133],[164,133,162,165],[132,133,164,135],[166,135,164,167],[134,135,166,137],[168,137,166,169],[136,137,168,139],[170,139,168,171],[138,139,170,141],[172,141,170,173],[140,141,172,143],[174,143,172,175],[142,143,174,145],[176,145,174,177],[144,145,176,147],[178,147,176,179],[146,147,178,149],[180,149,178,181],[148,149,180,151],[182,151,180,183],[150,151,182,153],[184,153,182,185],[152,153,184,156],[186,156,184,187],[155,156,186,188],[189,188,186,190],[190,191,192,189],[193,192,191,194],[160,161,195,163],[196,163,195,197],[162,163,196,165],[198,165,196,199],[164,165,198,167],[200,167,198,201],[166,167,200,169],[202,169,200,203],[168,169,202,171],[204,171,202,205],[170,171,204,173],[206,173,204,207],[172,173,206,175],[208,175,206,209],[174,175,208,177],[210,177,208,211],[176,177,210,179],[212,179,210,213],[178,179,212,181],[214,181,212,215],[180,181,214,183],[216,183,214,217],[182,183,216,185],[218,185,216,219],[184,185,218,187],[220,187,218,221],[186,187,220,190],[191,190,220,222],[222,223,194,191],[224,194,223,225],[193,194,224,226],[227,226,224,228],[196,197,229,199],[230,199,229,231],[198,199,230,201],[232,201,230,233],[200,201,232,203],[234,203,232,235],[202,203,234,205],[236,205,234,237],[204,205,236,207],[238,207,236,239],[206,207,238,209],[240,209,238,241],[208,209,240,211],[242,211,240,243],[210,211,242,213],[244,213,242,245],[212,213,244,215],[246,215,244,247],[214,215,246,217],[248,217,246,249],[216,217,248,219],[250,219,248,251],[218,219,250,221],[252,221,250,253],[220,221,252,222],[223,222,252,254],[254,255,225,223],[256,225,255,257],[224,225,256,228],[258,228,256,259],[227,228,258,260],[261,260,258,262],[230,231,263,233],[264,233,263,265],[232,233,264,235],[266,235,264,267],[234,235,266,237],[268,237,266,269],[236,237,268,239],[270,239,268,271],[238,239,270,241],[272,241,270,273],[240,241,272,243],[274,243,272,275],[242,243,274,245],[276,245,274,277],[244,245,276,247],[278,247,276,279],[246,247,278,249],[280,249,278,281],[248,249,280,251],[282,251,280,283],[250,251,282,253],[284,253,282,285],[252,253,284,254],[255,254,284,286],[286,287,257,255],[256,257,288,259],[258,259,289,262],[261,262,290,291],[264,265,292,267],[266,267,293,269],[268,269,294,271],[270,271,295,273],[272,273,296,275],[274,275,297,277],[276,277,298,279],[278,279,299,281],[280,281,300,283],[282,283,301,285],[284,285,302,286]]     ;

mid=sum(v4)/length(v4);
v4=apply(v4,(#-mid)*2.6);


mat=[
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mat=[[0.56,0.49,-0.67],[-0.52,-0.42,-0.74],[-0.65,0.76,0.02]];
mat0=[
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mmmx=mat0;
mmmy=mat0;

choice=1;
newchoice=1;
animstate=1;


</script>


<script id='tick' type='text/x-cindyscript'>
animstate=animstate+0.1;
errc(animstate);
if(animstate>=1,
 animstate=1;
 javascript("cdy.stop()");
);
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);

</script>



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if(choice==1,v=v1;f=f1;);
if(choice==2,v=v2;f=f2;);
if(choice==3,v=v3;f=f3;);
if(choice==4,v=v4;f=f4;);

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fillpolygon([(31,-.8),(31,-2.5),(35,-2.5),(35,-.8)],color->(.6,.6,1)*if(!grid,1.1,0.7));
drawpolygon([(31,-.8),(31,-2.5),(35,-2.5),(35,-.8)],color->(0,0,0));
drawtext((31.5,-2),"Cells");


y=S.y;
if(y<S1.y,y=S1.y);
if(y>S2.y,y=S2.y);

S.xy=(S1.x,y);

s1=(|S,S1|/|S1,S2|);


y=T.y;
if(y<T1.y,y=T1.y);
if(y>T2.y,y=T2.y);

T.xy=(T1.x,y);

al=(|T,T1|/|T1,T2|);

vv=apply(v,mat*#);

f=sort(f,fa,sum(fa,p,(vv_p)_3));

s1=3*exp(s1*5);
scale=|sin(animstate*pi/2)|;

mapt(pt):=[pt_1,#_2]/(s1-#_3)*s1*6*scale+(2,2);

apply(f,q,
      pol=apply(q,vv_#);
      d=sum(pol)_3*.2+1.0;
      n=cross(pol_1-pol_3,pol_2-pol_4);
      n=n/|n|;
      col=(0.4,0.4,.7);
      col=col+max(((n*(1,5,5)),0))*(.8,.6,.6)*.1;
      col=col+max(((n*(-1,5,5)),0))*(.6,.4,.6)*.1;
      pol=apply(pol,mapt(#));
      fillpoly(pol,color->(col-(0.5,0.5,0))*d,alpha->al);
      pol=pol++[pol_1];
      forall(1..4,draw(pol_#,pol_(#+1),size->2*scale,color->col*d*.02));

      );

drawtext(S1-(1.8,1),size->16,"perspective");
drawtext(T1-(1,1),size->16,"alpha");


</script>


<script id='timer' type='text/x-cindyscript'>



</script>

<div  id="CSCanvas" style="width:800px; height:600px; border:2px solid #000000"></div>

<script type="text/javascript">

var gslp=[
    {name:"A", kind:"P", type:"Free",alpha:0, pos:[-1000,-1000,1],alpha:.001} ,
    {name:"S1", type:"Free", pos:[16,-2],color:[0,0,0],pinned:true,size:2},
    {name:"S2", type:"Free", pos:[16,12],color:[0,0,0],pinned:true,size:2},
    {name:"S", type:"Free", pos:[16,3.5],color:[1,0.5,0.5],pinned:false,size:4,narrow:true},
    {name:"l", type:"Segment", args:["S1","S2"],color:[0,0,0],pinned:false,size:2},
     {name:"T1", type:"Free", pos:[20,-2],color:[0,0,0],pinned:true,size:2},
    {name:"T2", type:"Free", pos:[20,12],color:[0,0,0],pinned:true,size:2},
    {name:"T", type:"Free", pos:[20,8.5],color:[1,0.5,0.5],pinned:false,size:4,narrow:true},
    {name:"m", type:"Segment", args:["T1","T2"],color:[0,0,0],pinned:false,size:2}


    ];

var cdy = CindyJS({canvasname:"CSCanvas",
movescript:"csmove",
initscript:"init",
mousedownscript:"mouseDown",
mouseupscript:"mouseUp",
tickscript:"tick",
mousedragscript:"mouseDrag",
geometry:gslp
}

);


</script>

</body>
</html>
